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Finding the Third Proportional to 48,600 and 104,787

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Solution

The third proportional to 48,600 and 104,787 is: 225,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,600 : 104,787 = 104,787 : x
  2. Step 2: Convert to fraction form
    48,600/104,787 = 104,787/x
  3. Step 3: Cross multiply
    48,600x = 104,787 × 104,787
  4. Step 4: Simplify right side
    48,600x = 10,980,315,369
  5. Step 5: Solve for x
    x = 10,980,315,369/48,600
  6. Step 6: Final answer
    x = 225,932.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.